|Table of Contents|

Asymptotic Properties of Solutions to a SIRS Epidemic Model With Diffusion(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2009年03期
Page:
25-30
Research Field:
数学
Publishing date:

Info

Title:
Asymptotic Properties of Solutions to a SIRS Epidemic Model With Diffusion
Author(s):
Gan Wenzhen 1; Shi Yihuan 2
1. School of Mathematics and Physics,Jiangsu Teachers University of Technology,Changzhou 213001,China
Keywords:
non linear inc ident ra te;  temporary immunity;  tim e delay;  reaction diffusion system;  asym pto tic properties
PACS:
O175.26
DOI:
-
Abstract:
The weakly coupled reaction-diffusion system describ ing a SIRS ep idem icm ode lw ith nonlinear inc ident rate is investigated. The loca l asym pto tic stab ilities of equilibr ium s are g iven by lineariza tion and e igenvalue. The asympto tic stabilities o f d isease- free equ ilibrium is investig ated using them e thod of Liapunov functions. Our resu lts show tha t the d isease-free equ ilibrium is asym ptotically stable if the contac t rate is sm a ll and the initial va lues are sm all.

References:

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Last Update: 2013-04-23